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ELA OPINION DYNAMICS WITH STUBBORN VERTICES∗

By Yaokun Wu and Jian ShenYaokun Wu and Jian Shen

Abstract

Abstract. Consider a social network where each person holds an opinion represented by a numerical value. Whenever a member of the social network is given a chance, the member updates his/her opinion according to a certain convex combination of the opinions of all network members. The influence digraph of the network has network members as vertices, and there is an arc from a vertex v to a vertex u if and only if, in the opinion update formula for v, the coefficient of u’s opinion is positive. The sink vertices in the influence digraph correspond to those stubborn people who never change their opinions. Assuming network members update their opinions one by one according to a given sequence, this note provides a description of the resulting opinion dynamics when every vertex can reach some sink vertex in the influence digraph

Topics: Key words. Harmonic function
Year: 2016
OAI identifier: oai:CiteSeerX.psu:10.1.1.828.2638
Provided by: CiteSeerX
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